S-1+2 dt

Q: Evaluate the integral below by interpreting it in terms of areas. In other words, draw a picture of…

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Q: 3 2 3 3-

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Q: Find the gradient of the function at the given point. f(x, y) = 4x + 3y² + 8, (2, 1) Vf(2, 1) = 4i +…

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Q: Solve the system of linear equations 3x-y+2z=-21 4x-2y+z=-31 -x+3y-2=11

A: We have to solve the system of linear equations.

Q: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v,…

A: To find volume of parallelepiped.

Q: In cach of the following, write the matrix A as a product SDS, where D is a diagonal matrix. ( ) 10…

A: We have to diagnose the above matrix.

Q: y = |x|, y = x² – 1, x = -1, x = 1 - г2 — 1,

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Q: ydx=(ye^y- 2x)dy

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (17, 6, -3) Vw(17, 6, -3) =…

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Q: Use Newton's method to find all solutions of the equation correct to six decimal places. (Enter your…

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Q: ) If we apply Rolle's Theorem to the function f(x)=2x^2−8x−4 on the interval [0,4], how many values…

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Q: Find 4小1 机g:f el fof (メ= 区 x = 3x # S 3. f位)EX

A: We have to find the fog gof and fof functions.

Q: e^x + y)dx +(2 + X + ye^y)dy= 0 ,y(0)=1

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Q: Using the partition method, find the inverse of 4 3 1 - 1 3

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Q: 1. The measure of the linear density at a point of a rod varies directly as the third power of the…

A: According to Bartleby's policy we are allowed to solve only 1 question at a time. So here's the…

Q: 4х if х> -1 f(x) 3D { 5 — х2 if b < x<-1 Зх + 7 if x < b

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Q: how about the equation of the normal line?

A: Apologies for the inconvenience. Here is the solution for the normal line:   From the original…

Q: Find a formula for the nth term of the sequence where a, is calculated directly from n. 6 10 14 18…

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Q: The graph shown below is f(x) = 2 cos x. If g(x) = Sřf(t)dt , find g '( 1 ). %3D 4 3- 2- 54 3 2 -1 1…

A: Use the Newton Leibniz Theorem and calculate the derivative.

Q: 4014H al

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Q: Simplify cos(arctan-1) O no solution O-V2/2 -V2/2 O V2/2

A: Solve the following

Q: (a) Find an equation of the tangent plane to the surface at the given point. xyz = 12, (1, 3, 4) (b)…

A: Given: xyz=12 (1,3,4)

Q: Given the function graphed below, evaluate the definite integrals. 3. 2. 4 -2- -3 -4+ f(z)dz =…

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Q: Q2. Evaluate the integrals below by first using trigonometric identities to simplify the in-…

A: Topic = Integration

Q: Find all solutions of the system of equations. (If there is no solution, enter NO SOLUTION.) 7. 9 =…

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Q: Does the sequence {an} converge or diverge? Explain. Find the limit if the sequence is convergent.…

A: Given query is to find the limit of the sequence.

Q: arccos(cos)

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Q: Show complete solution

A: ∫01x1+xxdx23∫0132x1+xxdx23∫0132x1+xx12dx

Q: This subject is DIFFERENTIAL EQUATION. SOLVE THE FOLLOWING APPLICATION PROBLEMS 1. The population of…

A: Given that the rate of increase of the population of a country is proportional to the number of…

Q: If 11 | f(z)dz 7 70 and 11 g(x)dr = 14 70 and 11 h(r)da = 33 70 what does the following integral…

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Q: Find the derivative of the following using First Principle. 1) y = 1 2) у %3D х 3) f(x) = 5x3 %3D 4)…

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Q: Question Select your answer. A ball is thrown vertically upward. Its height h feet after t seconds…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the gradient of the function at the given point. w = x tan(y + z), (10, 5, -2) 2, Vw(10, 5, -2)…

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Q: nd the area of the region under the graph of f(r) = 2r² – 4x + 2 on [-2, 3].

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Q: A student loan of R25000 is to be repaid by regular monthly installments over 60 months. If the…

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Q: dz If z = 4xy, x = 2t, y = 1- t then at dt t = 3 is: Select one: O None of them O -38 O -37 -39 O…

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Q: Evaluate the following indefinit 4. Ssin'x cos*x dx

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Q: 2. The growth rate (in inches per year) of the diameter at breast height of a certain tree is given…

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Q: If R is the region æ² + y² < 4, then Sp(æ² + y³ ) dA = S* L r² dr d0. 2

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Q: VECTOR DIFFERENTIATION: If R = e^(−t) i + ln(t^2+ 1) j - tant k. Find: (a) dR/dt, (b)…

A: R=e-ti+ln(t2+1) j-tant k

Q: x = y² – y, x = y – y² |

A: The solution is given in the next step.

Q: 10 (vi) / 1+ x dx x2 + 100

A: The given integral,     ∫0101+xx2+100dx

Q: Evaluate the integral below by interpreting y=f(x) it in terms of areas in the figure. A1 The areas…

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Q: Choose the graph of the function arcsec(x).

A: Given that fx=sec-1 xTo draw: the graph of fxSolution :

Q: d) 2х3у + e2y — 4х + 5x2. e) y = (2x* + 4)*x %3D

A: We have to find the derivative

Q: 4. Find the equation of the tangent to h(x) = x´sin(2x) at x = 1 [no unit circle needed]

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Q: Express the limit lim > (7 sin (27) + 6)Az, over [2, 4] as an integral TL 00 1-1 Provide a, b and…

A: Formula :

Q: Evaluate the following IMPROPER INTEGRALS. It is optional to double check your answers/solution for…

A: To evaluate the given integral.

Q: Consider the expression (3x² + 2/x)10 a) Find a simplified formula for the general term. (separate…

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Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x2 – 2xy + y²,…

A: Given: f(x,y)=x2-2xy+y2, (5,7,4).